The third-seeded Indo-Chinese pair of Sania and Peng came from a set down to beat fifth-seeded Czech pair of Barbora Strycova and Katerina Siniakov 4-6 6-2 10-7 in the quarterfinals.
India have got a bye in the first round, so they will play under new rules only in April when they travel to either New Zealand or China.
The world number one will next play third-seeded Grigor Dimitrov in the semis, who defeated Roberto Bautista Agut 7-6 (5), 4-6, 6-2.
Simona Halep needs to reach to the final in Beijing, and not lose to third-seeded Elena Svitolina, to bump No. 1 Garbine Muguruza from the top spot.
Sania-Peng duo defeated the Belgian-Dutch pair of Elise Mertens and Demi Schuurs 7-5, 6-2 to enter the quarterfinals.
Nadal, who won the French Open and U.S. Open this year, saved all six break points he faced and increased his lead over Roger Federer at the top of the rankings.
The Indo-Argentine duo failed to replicate their good performance in the opening round and slump to a narrow 5-7, 6-7 (6-8) defeat.
Rohan Bopanna and his Argentine partner Pablo Cuevas will cross swords with Australia's John Peers and Finland's Henri Kontinen in the quarter-finals.
Kyrgios said he found his rhythm after losing the first set and smashing his racket, choosing at one point to sing along with the stadium soundtrack.
Left-handed Sharan and his American partner Scott Lipsky outplayed the local wild card pair of Jui-Chen Hung and Cheng-Yu Yu 6-1 6-4 in just 50 minutes.
As the same as in the first set, the Romanian star won the set in the eighth game when she served, snatching her first ever career victory over Sharapova.
Evert feels the 23-time Grand Slam champion Serena might find her comeback tough as the standards in women's tennis have risen since Williams took a layoff from the game.
The 27-year-old Evans, who was in Britain's Davis Cup-winning squad in 2015, is banned though April 23, 2018.
After the last Hopman Cup, Federer went on to win the Australian Open and Wimbledon, his 18th and 19th Grand Slam singles titles.
Nadal is 57-9 this season and leads the tour with five ATP singles titles, including the French Open and US Open.
Rafael Nadal won the US Open and reclaimed the No.1 spot from Andy Murray in September.
The tennis star recalled the time when she was thrown out of the Falaknuma Palace in Hyderabad.
Last month, Serena had revealed that she has set herself the most 'outrageous' goal of making a comeback at the Australian Open in January.
The tournament is organized to honour the legendary Rod Laver, an 11-time major champion who won two calendar-year Grand Slams.
The victory gives Wozniacki her first title of the year. The Dane had lost all six of her previous finals in 2017.
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